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Finding the Fourth Proportional to 919.82, 1,269.42 and 753.55

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Solution

The fourth proportional to 919.82, 1,269.42 and 753.55 is: 1,039.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.82 : 1,269.42 = 753.55 : x
  2. Step 2: Convert to fraction form
    919.82/1,269.42 = 753.55/x
  3. Step 3: Cross multiply
    919.82x = 1,269.42 × 753.55
  4. Step 4: Simplify right side
    919.82x = 956,571.44
  5. Step 5: Solve for x
    x = 956,571.44/919.82
  6. Step 6: Final answer
    x = 1,039.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.